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Name:

An example of the distinction between within group and between group correlations

Description:

A demonstration that a correlation may be decomposed to a within group correlation and a between group correlations and these two correlations are independent. Between group correlations are sometimes called ecological correlations, the decomposition into within and between group correlations is a basic concept in multilevel modeling. This data set shows the composite correlations between 11 variables, representing 16 cases with four groups.

Variables:

A data frame with 16 observations on the following 11 variables.

Group: An example grouping factor.
V1: A column of 16 observations
V2: A column of 16 observations
V3: A column of 16 observations
V4: A column of 16 observations
V5: A column of 16 observations
V6: A column of 16 observations
V7: A column of 16 observations
V8: A column of 16 observations
V9: A column of 16 observations

Link To Google Sheets:

Rows:

Columns:

Files:

An example of the distinction between within group and between group correlations_1266_51.csv

License Type:

Public Domain (CC0)

References/Notes/Attributions:

Source

The data were created for this example

References

P. D. Bliese. Multilevel modeling in R (2.3) a brief introduction to R, the multilevel package and the nlme package, 2009.

Pedhazur, E.J. (1997) Multiple regression in behavioral research: explanation and prediction. Harcourt Brace.

Revelle, W. An introduction to psychometric theory with applications in R (in prep) Springer. Draft chapters available at https://personality-project.org/r/book/

R Dataset Upload:

Use the following R code to directly access this dataset in R.

d <- read.csv("https://www.key2stats.com/An_example_of_the_distinction_between_within_group_and_between_group_correlations_1266_51.csv")